{"id":11066,"date":"2024-08-24T16:11:05","date_gmt":"2024-08-24T08:11:05","guid":{"rendered":"http:\/\/www.aiersheng.cc\/?p=11066"},"modified":"2024-08-24T16:11:58","modified_gmt":"2024-08-24T08:11:58","slug":"%e6%b5%99%e6%b1%9f%e7%9c%81%e4%b8%93%e5%8d%87%e6%9c%ac%e9%ab%98%e6%95%b0%e5%a4%87%e8%80%83%e5%bf%85%e7%9c%8b%ef%bc%9a%e5%8e%86%e5%b9%b4%e7%9c%9f%e9%a2%98%e6%a0%b8%e5%bf%83%e7%9f%a5%e8%af%86%e7%82%b9-2","status":"publish","type":"post","link":"https:\/\/www.aiersheng.cc\/?p=11066","title":{"rendered":"\u6d59\u6c5f\u7701\u4e13\u5347\u672c\u9ad8\u6570\u5907\u8003\u5fc5\u770b\uff1a\u5386\u5e74\u771f\u9898\u6838\u5fc3\u77e5\u8bc6\u70b9\u5168\u9762\u63d0\u70bc\u4e0e\u4f18\u5316\uff082\uff09"},"content":{"rendered":"
\u793a\u4f8b\u9898\u76ee1\uff1a\u5df2\u77e5f(g(x))\u8868\u8fbe\u5f0f\uff0c\u6c42f(x)\u8868\u8fbe\u5f0f<\/h6>\n

\u9898\u76ee<\/strong>\uff1a\u5df2\u77e5\u00a0f<\/span>(<\/span>g<\/span>(<\/span>x<\/span>))<\/span>=<\/span><\/span>1+<\/span>log2<\/span><\/span>\u200b<\/span><\/span><\/span>(<\/span>x<\/span>2<\/span><\/span><\/span><\/span>+<\/span>1)<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u5176\u4e2d\u00a0g<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>log2<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>(<\/span>x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span>1<\/span>)<\/span><\/span><\/span><\/span><\/span>\uff0c\u6c42\u00a0f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u8868\u8fbe\u5f0f\u53ca\u5176\u5b9a\u4e49\u57df\u3002<\/p>\n

\u89e3\u7b54\u601d\u8def<\/strong>\uff1a<\/p>\n

    \n
  1. \u6362\u5143\u6cd5<\/strong>\uff1a\u4ee4\u00a0u<\/span>=<\/span><\/span>g<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>log2<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>(<\/span>x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span>1<\/span>)<\/span><\/span><\/span><\/span><\/span>\uff0c\u5219\u00a0f<\/span>(<\/span>g<\/span>(<\/span>x<\/span>))<\/span>=<\/span><\/span>f<\/span>(<\/span>u<\/span>)<\/span>=<\/span><\/span>1+<\/span>u<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n
  2. \u5199\u51faf(x)<\/strong>\uff1a\u7531\u4e8e\u00a0u<\/span><\/span><\/span><\/span><\/span>\u00a0\u662f\u4efb\u610f\u7684\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u00a0u<\/span><\/span><\/span><\/span><\/span>\u00a0\u66ff\u6362\u4e3a\u00a0x<\/span><\/span><\/span><\/span><\/span>\uff0c\u5f97\u5230\u00a0f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>1+<\/span>x<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n
  3. \u786e\u5b9a\u5b9a\u4e49\u57df<\/strong>\uff1a\u7531\u4e8e\u00a0g<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>log2<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>(<\/span>x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span>1<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u503c\u57df\u662f\u00a0R<\/span><\/span><\/span><\/span><\/span>\uff08\u56e0\u4e3a\u00a0x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span>1<\/span>\u2265<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\uff0c\u5bf9\u6570\u51fd\u6570\u603b\u662f\u5b9a\u4e49\u826f\u597d\u7684\uff09\uff0c\u6240\u4ee5\u00a0f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u5b9a\u4e49\u57df\u4e5f\u662f\u00a0R<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<\/ol>\n

    \u793a\u4f8b\u9898\u76ee2\uff1a\u5df2\u77e5\u5206\u6bb5\u51fd\u6570f(x)\u548cg(x)\u7684\u8868\u8fbe\u5f0f\uff0c\u6c42f(g(x))\u8868\u8fbe\u5f0f<\/h3>\n

    \u9898\u76ee<\/strong>\uff1a\u5df2\u77e5<\/p>\n

    f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>{<\/span><\/span>x<\/span>2<\/span><\/span><\/span><\/span>,<\/span>x<\/span>+<\/span>1,<\/span><\/span>\u200b<\/span><\/span><\/span><\/span>if\u00a0<\/span>x<\/span>\u2265<\/span>0if\u00a0<\/span>x<\/span><<\/span>0<\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n

    \u548c\u00a0g<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>x<\/span>\u2212<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\uff0c\u6c42\u00a0f<\/span>(<\/span>g<\/span>(<\/span>x<\/span>))<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u8868\u8fbe\u5f0f\u3002<\/p>\n

    \u89e3\u7b54\u601d\u8def<\/strong>\uff1a<\/p>\n

      \n
    1. \u5206\u6bb5\u8ba8\u8bba<\/strong>\uff1a\n
        \n
      • \u5f53\u00a0g<\/span>(<\/span>x<\/span>)<\/span>\u2265<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff0c\u5373\u00a0x<\/span>\u2212<\/span><\/span>1<\/span>\u2265<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u00a0\u6216\u00a0x<\/span>\u2265<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u00a0\u65f6\uff0cf<\/span>(<\/span>g<\/span>(<\/span>x<\/span>))<\/span>=<\/span><\/span>(<\/span>x<\/span>\u2212<\/span><\/span>1<\/span>)2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n
      • \u5f53\u00a0g<\/span>(<\/span>x<\/span>)<\/span><<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff0c\u5373\u00a0x<\/span>\u2212<\/span><\/span>1<\/span><<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u00a0\u6216\u00a0x<\/span><<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u00a0\u65f6\uff0cf<\/span>(<\/span>g<\/span>(<\/span>x<\/span>))<\/span>=<\/span><\/span>x<\/span>\u2212<\/span><\/span>1<\/span>+<\/span><\/span>1<\/span>=<\/span><\/span>x<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<\/ul>\n<\/li>\n
      • \u5408\u5e76\u8868\u8fbe\u5f0f<\/strong>\uff08\u5982\u679c\u53ef\u80fd\uff09\uff1a\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u7531\u4e8e\u00a0f<\/span>(<\/span>g<\/span>(<\/span>x<\/span>))<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u8868\u8fbe\u5f0f\u57fa\u4e8e\u00a0x<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u4e0d\u540c\u8303\u56f4\u6709\u4e0d\u540c\u7684\u5f62\u5f0f\uff0c\u56e0\u6b64\u901a\u5e38\u4e0d\u5408\u5e76\u3002<\/li>\n<\/ol>\n

        \u793a\u4f8b\u9898\u76ee3\uff1a\u6c42y=f(x)\u7684\u53cd\u51fd\u6570<\/h3>\n

        \u9898\u76ee<\/strong>\uff1a\u5df2\u77e5\u00a0y<\/span>=<\/span><\/span>f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>x<\/span>\u2212<\/span>1<\/span><\/span>x<\/span>+<\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u6c42\u00a0f<\/span>\u22121<\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u53ca\u5176\u5b9a\u4e49\u57df\u3002<\/p>\n

        \u89e3\u7b54\u601d\u8def<\/strong>\uff1a<\/p>\n

          \n
        1. \u89e3\u51fax<\/strong>\uff1a\u4ece\u00a0y<\/span>=<\/span><\/span>x<\/span>\u2212<\/span>1<\/span><\/span>x<\/span>+<\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u51fa\u53d1\uff0c\u89e3\u51fa\u00a0x<\/span><\/span><\/span><\/span><\/span>\uff1ay<\/span>(<\/span>x<\/span>\u2212<\/span><\/span>1<\/span>)<\/span>=<\/span><\/span>x<\/span>+<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\uff0c\u5373\u00a0y<\/span>x<\/span>\u2212<\/span><\/span>y<\/span>=<\/span><\/span>x<\/span>+<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\uff0c\u6574\u7406\u5f97\u00a0x<\/span>=<\/span><\/span>y<\/span>\u2212<\/span>1<\/span><\/span>y<\/span>+<\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n
        2. \u4e92\u6362x,y<\/strong>\uff1a\u5c06\u00a0x<\/span>,<\/span>y<\/span><\/span><\/span><\/span><\/span>\u00a0\u4e92\u6362\u4f4d\u7f6e\uff0c\u5f97\u5230\u00a0y<\/span>=<\/span><\/span>x<\/span>\u2212<\/span>1<\/span><\/span>x<\/span>+<\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff08\u6ce8\u610f\u8fd9\u91cc\u53ea\u662f\u5f62\u5f0f\u4e0a\u7684\u4e92\u6362\uff0c\u5b9e\u9645\u4e0a\u6211\u4eec\u5df2\u7ecf\u89e3\u51fa\u4e86\u53cd\u51fd\u6570\uff09\u3002\u4f46\u66f4\u5e38\u89c1\u7684\u8868\u793a\u662f\u00a0f<\/span>\u22121<\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>x<\/span>\u2212<\/span>1<\/span><\/span>x<\/span>+<\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n
        3. \u786e\u5b9a\u5b9a\u4e49\u57df<\/strong>\uff1a\u539f\u51fd\u6570\u00a0f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u503c\u57df\u662f\u00a0y<\/span>\ue020<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\uff08\u56e0\u4e3a\u5206\u6bcd\u4e0d\u80fd\u4e3a\u96f6\uff09\uff0c\u6240\u4ee5\u53cd\u51fd\u6570\u00a0f<\/span>\u22121<\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u5b9a\u4e49\u57df\u4e5f\u662f\u00a0x<\/span>\ue020<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

          \u793a\u4f8b\u9898\u76ee1\uff1a\u5df2\u77e5f(g(x))\u8868\u8fbe\u5f0f\uff0c\u6c42…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[124],"tags":[],"class_list":["post-11066","post","type-post","status-publish","format-standard","hentry","category-zsb"],"_links":{"self":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/11066","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11066"}],"version-history":[{"count":0,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/11066\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11066"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}